6(n+1)=2n-2

Solution for 6(n+1)=2n-2 equation:

Simplifying
6(n + 1) = 2n + -2

Reorder the terms:
6(1 + n) = 2n + -2
(1 * 6 + n * 6) = 2n + -2
(6 + 6n) = 2n + -2

Reorder the terms:
6 + 6n = -2 + 2n

Solving
6 + 6n = -2 + 2n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-2n' to each side of the equation.
6 + 6n + -2n = -2 + 2n + -2n

Combine like terms: 6n + -2n = 4n
6 + 4n = -2 + 2n + -2n

Combine like terms: 2n + -2n = 0
6 + 4n = -2 + 0
6 + 4n = -2

Add '-6' to each side of the equation.
6 + -6 + 4n = -2 + -6

Combine like terms: 6 + -6 = 0
0 + 4n = -2 + -6
4n = -2 + -6

Combine like terms: -2 + -6 = -8
4n = -8

Divide each side by '4'.
n = -2

Simplifying
n = -2